GCD of 971, 564, 98, 484 Calculator

Given Input numbers are 971, 564, 98, 484

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 971, 564, 98, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 564, 98, 484 is 1.

Therefore, GCD of numbers 971, 564, 98, 484 is 1

Given Input Data is 971, 564, 98, 484

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 971 is 971

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 484 is 2 x 2 x 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(971, 564) = 547644

GCD(971, 564) = ( 971 x 564 ) / 547644

GCD(971, 564) = 547644 / 547644

GCD(971, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 971, 564, 98, 484 is 1

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1. What is the GCD of 971, 564, 98, 484?

GCD of 971, 564, 98, 484 is 1

2. Where do I get the detailed procedure to find GCD of 971, 564, 98, 484?

You can find a detailed procedure to find GCD of 971, 564, 98, 484 on our page.

3. How to find GCD of 971, 564, 98, 484 on a calculator?

You can find the GCD of 971, 564, 98, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.